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Chapter 2—Integers

2-3 Introducing Absolute Values

When you complete the work for this section, you should be able to:
  • Define the term, absolute value.
  • Show the proper symbol for indicating an abolute-value function.
  • Donstrate how to determine the absolute value of any signed integer.

 

Definition

The absolute value of an integer is its value without regard to the sign. Or to put it another way, the absolute value of an integer is its distance from the origin (zero) on the number line.

The absolute value of numbers is indicated by enclosing the numbers in a pair of vertical lines, | |. 
For example, the absolute value of – 10 is written as | – 10 |.

Examples:

  1. What is the absolute value of -5?
    The distance between 0 and – 5 on the number line is 5 units. Therefore the absolute value of – 5 is equal to 5.

| – 5 |  = 5

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  1. What is the absolute value of 3? The distance between 0 and 3 on the number line is 3 units. Therefore the absolute value of 3 is equal to 3.

| 3 | = 3

fig020302.gif (1868 bytes)
  1. What is the absolute value of zero? There no distance between 0 and 0 on the number line, therefore the absolute value of 0 is 0.

| 0 | = 0

fig020303.gif (1832 bytes)

Examples and Exercises

Absolute Values

Use these interactive examples and exercises to strengthen your understanding and build your skills:

 

Author: David L. Heiserman
Publisher: SweetHaven Publishing Services

Copyright © 2007, David L. Heiserman
All Rights Reserved